Bijection Between Point-Hyperplane Anti-Flags of $V(n,2)$ and Non-Singular Points of $O^{+}(2n,2)$

Ferdinand Ihringer, Antonio Pasini

We give a bijection between the point-hyperplane antiflags of $V(n,2)$ and the nonsingular points of $V(2n,2)$ with respect to a hyperbolic quadric. With the help of…